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Finding the Fourth Proportional to 757.80, 1,134.68 and 482.40

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Solution

The fourth proportional to 757.80, 1,134.68 and 482.40 is: 722.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.80 : 1,134.68 = 482.40 : x
  2. Step 2: Convert to fraction form
    757.80/1,134.68 = 482.40/x
  3. Step 3: Cross multiply
    757.80x = 1,134.68 × 482.40
  4. Step 4: Simplify right side
    757.80x = 547,367.22
  5. Step 5: Solve for x
    x = 547,367.22/757.80
  6. Step 6: Final answer
    x = 722.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.